Atkin-Lehner |
2- 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bt |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
5.8816355893248E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26569188,-37656024219] |
[a1,a2,a3,a4,a6] |
j |
132751223553483361939321/37642467771678720000 |
j-invariant |
L |
2.7171750050722 |
L(r)(E,1)/r! |
Ω |
0.067929377118747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670e1 |
Quadratic twists by: 5 |